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Finding the Fourth Proportional to 14,911.65, 20,578.09 and 8,197.39

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Solution

The fourth proportional to 14,911.65, 20,578.09 and 8,197.39 is: 11,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.65 : 20,578.09 = 8,197.39 : x
  2. Step 2: Convert to fraction form
    14,911.65/20,578.09 = 8,197.39/x
  3. Step 3: Cross multiply
    14,911.65x = 20,578.09 × 8,197.39
  4. Step 4: Simplify right side
    14,911.65x = 168,686,629.19
  5. Step 5: Solve for x
    x = 168,686,629.19/14,911.65
  6. Step 6: Final answer
    x = 11,312.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.